Search for Periodic Solutions of Highly Nonlinear Dynamical Systems

被引：0
|
作者：
L. F. Petrov
机构：
[1] Plekhanov Russian University of Economics,
来源：
Computational Mathematics and Mathematical Physics | 2018年 / 58卷
关键词：
highly nonlinear systems of ordinary differential equations; periodic solutions; stability of periodic solutions; strange attractor; deterministic chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Numerical-analytical methods for finding periodic solutions of highly nonlinear autonomous and nonautonomous systems of ordinary differential equations are considered. Algorithms for finding initial conditions corresponding to a periodic solution are proposed. The stability of the found periodic solutions is analyzed using corresponding variational systems. The possibility of studying the evolution of periodic solutions in a strange attractor zone and on its boundaries is discussed, and interactive software implementations of the proposed algorithms are described. Numerical examples are given.
引用
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页码：384 / 393
页数：9
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